2 citations · 2 across the 4 of their papers we have counts for
4 papers
New examples of Moser-Bernstein type problems for some nonlinear elliptic partial differential equations arising in geometry
Alfonso Romero, Rafael M. Rubio, Juan J. Salamanca
A family of nonlinear partial differential equations of divergence form is considered. Each one is the Euler-Lagrange equation of a natural Riemaniann variational problem of geomet…
Rigidity and non-existence of spacelike submanifolds with causal mean curvature vector field in spacetimes and the Cauchy problem in General Relativity
uan A. Aledo, Rafael M. Rubio, Juan J. Salamanca
New general results of non-existence and rigidity of spacelike submanifolds immersed in a spacetime, whose mean curvature is a time-oriented causal vector field, are given. These r…
Uniqueness and non-existence of minimal submanifolds
R. M. Rubio, J. J. Salamanca
We provide uniqueness results for compact minimal submanifolds in a large class of Riemannian manifolds of arbitrary dimension. In the case compact and Cartan-Hadamard manifolds we…
Complete Spacelike Hypersurfaces in Generalized Robertson-Walker and the Null Convergence Condition. Calabi-Bernstein problems
Juan A. Aledo, Rafael M. Rubio, Juan J. Salamanca
We study constant mean curvature spacelike hypersurfaces in generalized Robertson-Walker spacetimes which are spatially parabolic covered (i.e. its fiber F is a (non- compact) comp…